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maxonik [38]
3 years ago
10

Factor. 19y^2+95y = ?

Mathematics
1 answer:
madreJ [45]3 years ago
7 0

Answer:

Step-by-step explanation:

19y^{2} + 95y

Both terms have a y in them, so we can first start by factoring that out:

y(19y + 95)

For the remaining two terms in the parenthesis, they both can have a 19 factored out:

y(19 * y + 19 * 5)

19y(y + 5)

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A culture started with 6,000 bacteria. After 3 hours, it grew to 7,200 bacteria. Predict how many bacteria will be present after
yanalaym [24]
There will be 45,600 bacteria present after 19 hours
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3 years ago
Given: ∆PQR, m∠R = 90° m∠PQR = 75° M ∈ PR , MP = 18 m∠MQR = 60° Find: RQ
tensa zangetsu [6.8K]

Answer:    RQ= 8.99 ( approx)

Step-by-step explanation:

Let MR= x

Since, In triangle, PRQ, tan 75°= \frac{18+x}{RQ}

⇒ RQ=  \frac{18+x}{tan 75^{\circ}}

Now, In triangle MRQ,

tan 60°= \frac{18+x}{RQ}

⇒ RQ=  \frac{x}{tan 60^{\circ}}

On equating both values of RQ,

\frac{18+x}{tan 75^{\circ}}=\frac{x}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=2.15470053838

⇒18=2.15470053838x-x

⇒x=15.5884572681≈15.60

Thus RQ=8.99999999999≈8.99


6 0
3 years ago
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Aleksandr-060686 [28]
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Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Find the value of k so that the remainder is 1 when x^3+5x^2+kx-8 is divided by (x-3)<br> K=
Brut [27]

By the remainder theorem, the remainder upon dividing x^3+5x^2+kx-8 by x-3 is given by the value of this expression when <em>x</em> = 3 :

3^3 + 5\cdot3^2 + 3k - 8 = 1

Solve for <em>k</em> :

27 + 45 + 3k - 8 = 1 \\\\ 3k = -63 \\\\ \boxed{k = -21}

5 0
2 years ago
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